Home
Class 11
MATHS
If A a 3xx3 amtrix and B is its adjoint ...

If A a `3xx3` amtrix and B is its adjoint such that `|B| = 64`, then `|A|` is equal to

A

64

B

`ppm64`

C

`pm8`

D

18

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`absB=64`
`rArr abs(adjA)=64rArr abs(A)^2=64rArr absA=pm8`.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|12 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|79 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

A and B be 3xx3 matrices such that AB+A+B=0 , then

If in DeltaABC , a=2b and A=3B, then A is equal to

If P=[1alpha3 1 3 3 2 4 4] is the adjoint of a 3xx3 matrix A and |A|""=""4 , then a is equal to (1) 11 (2) 5 (3) 0 (4) 4

If A is 3xx4 matrix and B is a matrix such that A^T B and B A^T are both defined. Then, B is of the type (a) 3xx4 (b) 3xx3 (c) 4xx4 (d) 4xx3

If A=[(1,-2,1),(2,lambda,-2),(1,3,-3)] be the adjoint matrix of matrix B such that |B|=9 , then the value of lambda is equal to

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let B is an invertible square matrix and B is the adjoint of matrix A such that AB=B^(T) . Then

If A and B are two matrices of order 3xx3 satisfying AB=A and BA=B , then (A+B)^(5) is equal to

OBJECTIVE RD SHARMA ENGLISH-MATRICES-Section I - Solved Mcqs
  1. If {:[(a,b^3),(2,0)]=[(1,8),(2,0)]," then " [(a,b),(2,0)]()^-1:}=

    Text Solution

    |

  2. If A is a square matrix such that A^2-A+I =0, then the inverse of A is

    Text Solution

    |

  3. If A a 3xx3 amtrix and B is its adjoint such that |B| = 64, then |A| i...

    Text Solution

    |

  4. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  5. If A=[{:(omega,0),(0,omega):}], where omega is cube root of unity, the...

    Text Solution

    |

  6. If A^(3)=O, then prove that (I-A)^(-1) =I+A+A^(2).

    Text Solution

    |

  7. if A=[{:(0,1,-1),(2,1,3),(3,2,1):}]then (A(adjA)A^-1)A is equal to

    Text Solution

    |

  8. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

    Text Solution

    |

  9. If A is an invertible matrix of order 3xx3 such that |A|=2 . Then, ...

    Text Solution

    |

  10. If A and B are squre 3xx3 such that A is an orthogonal matrix and B is...

    Text Solution

    |

  11. If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. If A=[(1,0,0),(0,1,1),(0,-2,4)] , 6A^(-1)=A^2+cA+dI, then (c,d) is :

    Text Solution

    |

  14. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

    Text Solution

    |

  15. If U={:[(1,2,2),(-2,-1,-1),(1,-4,-3)]:}' ,sum of elements of inverse o...

    Text Solution

    |

  16. If U is same as in Example 50, then the value of {:[(3,2,0)]U[(3),(2),...

    Text Solution

    |

  17. If A and B f are square matrices of size nxxn such that A^(2) - B^(2...

    Text Solution

    |

  18. If A and B are any two different square matrices of order n with A^3=B...

    Text Solution

    |

  19. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

    Text Solution

    |

  20. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

    Text Solution

    |